What is the Greatest Common Factor of 74305 and 74315?

Greatest common factor (GCF) of 74305 and 74315 is 5.

GCF(74305,74315) = 5

We will now calculate the prime factors of 74305 and 74315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74305 and 74315.

How to find the GCF of 74305 and 74315?

We will first find the prime factorization of 74305 and 74315. After we will calculate the factors of 74305 and 74315 and find the biggest common factor number .

Step-1: Prime Factorization of 74305

Prime factors of 74305 are 5, 7, 11, 193. Prime factorization of 74305 in exponential form is:

74305 = 5¹ × 7¹ × 11¹ × 193¹

Step-2: Prime Factorization of 74315

Prime factors of 74315 are 5, 89, 167. Prime factorization of 74315 in exponential form is:

74315 = 5¹ × 89¹ × 167¹

Step-3: Factors of 74305

List of positive integer factors of 74305 that divides 74305 without a remainder.

1, 5, 7, 11, 35, 55, 77, 193, 385, 965, 1351, 2123, 6755, 10615, 14861

Step-4: Factors of 74315

List of positive integer factors of 74315 that divides 74305 without a remainder.

1, 5, 89, 167, 445, 835, 14863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74305 and 74315. The biggest common factor number is the GCF number.
So the greatest common factor 74305 and 74315 is 5.

Also check out the Least Common Multiple of 74305 and 74315